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Finding the Fourth Proportional to 8,661.26, 11,946.40 and 8,531.66

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Solution

The fourth proportional to 8,661.26, 11,946.40 and 8,531.66 is: 11,767.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,661.26 : 11,946.40 = 8,531.66 : x
  2. Step 2: Convert to fraction form
    8,661.26/11,946.40 = 8,531.66/x
  3. Step 3: Cross multiply
    8,661.26x = 11,946.40 × 8,531.66
  4. Step 4: Simplify right side
    8,661.26x = 101,922,541.96
  5. Step 5: Solve for x
    x = 101,922,541.96/8,661.26
  6. Step 6: Final answer
    x = 11,767.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.